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Finding the Third Proportional to 57,011.50 and 121,405

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Solution

The third proportional to 57,011.50 and 121,405 is: 258,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,011.50 : 121,405 = 121,405 : x
  2. Step 2: Convert to fraction form
    57,011.50/121,405 = 121,405/x
  3. Step 3: Cross multiply
    57,011.50x = 121,405 × 121,405
  4. Step 4: Simplify right side
    57,011.50x = 14,739,174,025
  5. Step 5: Solve for x
    x = 14,739,174,025/57,011.50
  6. Step 6: Final answer
    x = 258,529.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.